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A = 1.05i + 1j + 1.08k
B = 0.98i + -0.81j + -0.92k
What is the angle (in degrees) between the bonds based on this new data?
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- Problems 1. Tetrahedral angles. The angles between the tetrahedral bonds of diamond are the same as the angles between the body diagonals of a cube, as in Fig. 10. Use elemen- tary vector analysis to find the value of the angle.What is the relationship between the length of the face diagonal and the radius, r, of the atoms in the cell? (Enter a mathematical expression.) face diagonal = (c) How is the radius of the atoms related to do? (Enter a mathematical expression.) r = (d) Gold metal crystals have an FCC structure. The unit cell edge in gold is 0.4078 nm long. What is the radius (in nm) of a gold atom? nmIn the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the center. In coordinates where one of the C-H bonds is in the direction of i + j + k (i-hat + j-hat + k-hat) an adjacent C-H bond is in the direction of i - j - k (i-hat minus j-hat minus k-hat). What is the angle between these two bonds? " a) 100 degrees b) 109 degrees c) 200 degrees d) 209 degrees
- Which of the following equations repreşents a power relationship? Select one: C =8+0.016 a. O b. N=14e0.01t O c. y = 3x-1 d. V =10t+3 %3D С. %3DTetrahedral angles. The angles between the tetrahedral bonds of diamond are the same as the angles between the body diagonals of a cube, as in Fig. 12. Use elemen tary vector analysis to find the value of the angle.9. 10 The equation of the graph above is A P-10Q +5 B C P=-2Q+10 D P - 2Q + 10 P 5Q-10
- The positions vectors R1and R2 of the two atoms 1 and 2 in a crystal have equal magnitudes. If the magnitude of vector R1 +R2 is five times larger than the magnitude of vector R1- R2, the :angle (in degrees) between R1and R2 is approximately a. 53 O b. 5.72 O c. 22.6 ) d. 9.52 O e. 12.68 Mehib darum MA -+The angle between the vectors that connect ther carbon atom to the hydrogen atoms in the methane molecule can be calculated using the dot product or the cross product rule. In the case of the dot product, we get the correct answer, which is 109.5 degree, but if we use the cross product, the answer might be 70.5 degree. Why?alForm the dot Product of À- 23N37° and B=14N- b) Form the Cross product of A=23km 3プ and kN 0. 193°
- In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction ofA crystalline solid is made up of two elements ‘A’ and ‘B’. Atoms of A are present at thecorners and atoms of B are present at face centers. One atom A is missing from the corner.Find the simplest formula of the solid.Let AI represent the density of aluminum and Fe that of iron. Kind the radius of a solid aluminum sphere that balances a solid iron sphere of radius rFe on an equal-arm balance.